An example of an asymptotically Hilbertian space which fails the approximation property
- Additional Document Info
- View All
Following Davic's example of a Danach space failing the approximation property (1973), we show how to construct a Danach space E which is asymptotically Hilbcrtian and fails the approximation property. Moreover, the space E is shown to be a subspace of a space with an unconditional basis which is "almost" a weak Hubert space and which can be written as the direct sum of two subspaces all of whose subspaccs have the approximation property. © 2001 P. G. Casazza, C. L. Garcia, and W. B. Johnson.
author list (cited authors)
Casazza, P. G., Garca, C. L., & Johnson, W. B.
complete list of authors
Casazza, PG||García, CL||Johnson, WB